Question

Select the option, which is the logical equivalent of the statement given below:

No one who arrives after 8 p.m. will be admitted. All my family arrived together at 8 :15 p.m.

1. All of my family was admitted
2. Some of my family was admitted
3. None of my family was admitted
4. None of the above

Answer 1

Correct Answer - Option 3 : None of my family was admitted

As the above given statement states No one who arrives after 8 p.m. will be admitted. All my family arrived together at 8 :15 p.m. Here it is clear that the last time to arrive is 8 p.m. after which no one will be admitted and my family arrived at 8 : 15 p.m. so none of my family was admitted.

Hence, "None of my family was admitted" is the correct answer.